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SUMMARY:Partial Okounkov bodies and toric geometry - Mingchen Xia (Institu
 t de Mathématiques de Jussieu)
DTSTART:20240515T104500Z
DTEND:20240515T114500Z
UID:TALK214396@talks.cam.ac.uk
DESCRIPTION:Given a big line bundle L on a projective manifold\, Lazarsfel
 d&ndash\;Mustată and Kaveh&ndash\;Khovanskii introduced method of constru
 cting convex bodies associated with L. These convex bodies are known as Ok
 ounkov bodies. When L is endowed with a singular positive Hermitian metric
  h\, I will explain how to construct smaller convex bodies from the data (
 L\,h). These convex bodies play important roles in the study of the singul
 arities of h. As an application\, I will explain a non-trivial application
  in toric geometry due to Yi Yao.
LOCATION:Seminar Room 1\, Newton Institute
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